Question

In triangles ABC and JKL, angle A is congruent to angle J, and angle B is congruent to angle K. Which of the following is a true statement? (Points : 1)

Triangle ABC and triangle JKL must be right triangles.

Triangle ABC must be congruent to triangle JKL.

Triangle ABC is similar to triangle JKL.

Triangle ABC and triangle JKL must be isosceles triangles.

Answer 1

(C) Triangle ABC is similar to triangle JKL.

Explanation:

It is given that In triangles ABC and JKL, angle A is congruent to angle J, and angle B is congruent to angle K. Thus, from ΔABC and ΔJKL, we have

∠A=∠J

∠B=∠K

Therefore, by AA similarity, ΔABC is similar to ΔJKL.

Thus, Triangle ABC is similar to triangle JKL.

The two given triangles can't be congruent because we are only given with two angles and no other side or angle is given to prove the congruency.

Thus, option C is correct.